Information on Result #599076
There is no digital (56, 161, 204)-net over F3, because extracting embedded orthogonal array would yield linear OA(3161, 204, F3, 105) (dual of [204, 43, 106]-code), but
- residual code [i] would yield OA(356, 98, S3, 35), but
- the linear programming bound shows that M ≥ 17594 267310 234640 548980 678885 211362 293573 050792 059460 366181 760458 388479 597863 317354 958813 552441 815811 709869 / 31 435807 153094 400646 640285 665269 261214 518362 272160 890223 276799 339913 769425 758125 > 356 [i]
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No digital (56, 162, 204)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (56, 163, 204)-net over F3 | [i] | ||